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Finding the Fourth Proportional to 7,275.60, 10,905.30 and 3,114.90

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Solution

The fourth proportional to 7,275.60, 10,905.30 and 3,114.90 is: 4,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.60 : 10,905.30 = 3,114.90 : x
  2. Step 2: Convert to fraction form
    7,275.60/10,905.30 = 3,114.90/x
  3. Step 3: Cross multiply
    7,275.60x = 10,905.30 × 3,114.90
  4. Step 4: Simplify right side
    7,275.60x = 33,968,918.97
  5. Step 5: Solve for x
    x = 33,968,918.97/7,275.60
  6. Step 6: Final answer
    x = 4,668.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.